Question

Find the difference.



(1 point)
(4x2+5x+5)−(−4x2+2x)=

Answer 1

To find the difference \((4x^2 + 5x + 5) - (-4x^2 + 2x)\), we first distribute the negative sign across the second polynomial:

\[
(4x^2 + 5x + 5) + (4x^2 - 2x)
\]

Next, we combine like terms:

1. Combine the \(x^2\) terms:
\[
4x^2 + 4x^2 = 8x^2
\]

2. Combine the \(x\) terms:
\[
5x - 2x = 3x
\]

3. Combine the constant terms:
\[
5 \text{ (constant term remains unchanged)}
\]

Putting it all together, we get:

\[
8x^2 + 3x + 5
\]

Thus, the final result is:

\[
\boxed{8x^2 + 3x + 5}
\]